All trucks traveling on interstate 40 between Albuqurque and Amarillo are required to stop at a weigh station. Trucks arrive at the weigh station at a rate of 120 per eight hour day (possion distrubted) and the station can weigh on the average of 140 trucks per dat (possion distrubted).
A. determine the average number of trucks waiting, the average time spend at the weigh station by each truck and the average waiting time before weighed for each week
b. if the truck drivers find out they must remain at the weigh station longer than 15 mins on the average, they will start taking a different route or traveling at night thus depriving the state of taxes. The state of New Mexico estimates it loses 10,000 in taxes per year for each extra minute over 15 that trucks must remain at the weigh station. A new set of scales would have the same service capacity as the present set of scales and it is assumed that arriving trucks would line up equally behindthe two sets of scales. It would cost 50,000 per year to operate the new scales. should the state install the new set of scales?